Marianna Bolla. Beyond the Expanders
Submitted on: Jun 08, 2012, 04:41:33
Natural Sciences / Mathematics / Graph theory
Description: Expander graphs are widely used in communication problems and construction of error correcting codes. In such graphs, information gets through very quickly. Typically, it is not true for social or biological networks, though we may find a partition of the vertices such that the induced subgraphs on them and the bipartite subgraphs between any pair of them exhibit regular behavior of information flow within or between the subsets. Implications between spectral and regularity properties are discussed.
The abstract of this article has been published in the "Intellectual Archive Bulletin" , June 2012, ISSN 1929-1329.
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